Find f(−l), f(−2) and f(−3).
Sketch a possible graph of f(x) on the domain −3 ≤ x ≤ 3.
Sketch another possible graph of f(x) on the domain −3 ≤ x ≤ 3.
Could the graph of f(x) be a parabolic function? If so, find a possible equation of f(x). If not, explain.
Defintion of an even function: f(−a) = f(a).
Since f(1) = 2 then, by definition, f(−1) = 2 as well.
There are many ways to connect the points, just make sure you maintain symmetry over the y-axis.
Can you draw a parabola through all of these points? Give it a try.
Use the eTool below to view the graphs of some possible functions.
Click the link at right for the full version of the eTool: Calc 1-70 HW eTool